Unless you have purchased a copy which might come with a key you should upgrade your current install. The install is supposed to check your current install, and if accepted, continue the upgrade to Windows 10, no key involved.
But our experience is based mostly on normal users. Since you are going through an academic environment, I suppose it could be different. As long as you understand, Windows 10 uses the legal status of a current install. Once that install is verified the install will continue and be registered online, no license key is required.
Maybe you school will start selling the Windows 10 version when the install media is released to the public later this month.